Faisceaux cohérents sur les courbes multiples

Details Faisceaux cohérents sur les courbes multiples Faisceaux cohérents sur les courbes multiples

2004-02-24

arxiv.org/abs/math/0402387v4

Mathematics

Algebraic Geometry

45 pages - Added two sections removed prop. 8.2.1 (incorrect proof) added a supplementary necessary hypothesis in 3.1.5, 3.2,

Scientific paper

Multiple primitive curves have been defined and studied by A. Banica and O.
Forster. We introduce new invariants for coherent sheaves on these curves and
define quasi locally free sheaves, which play the same role as locally free
sheaves on smooth varieties. A more detailed study of torsion free sheaves is
given for primitive curves of multiplicity 2.

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